The WOWA operator and the interpolation function W*:: Chen and Otto's interpolation method revisited

Chen and Otto introduced in 1995 an interpolation method for defining membership functions from a set of points. In this paper we report some errors found in that algorithm and introduce some new conditions on the boundaries that are more general than the ones in the original work. We construct, in this way, a new interpolation method and prove that it has a smooth shape on the boundaries. This study is related to the WOWA operator, an aggregation function that generalizes both the weighted mean and the OWA operator. WOWA uses an interpolation method to calculate a vector of weights as a combination of other two vectors. The new method is introduced to implement this combination. (C) 2000 Elsevier Science B.V. All rights reserved.